$(14$ points$)$ Assume we have a program named bigbrother, whose output format is as follows:

username login$\_$time $\backslash (\backslash$Rightarrow $\backslash )$ logout$\_$time minutes$\_$on

If a user hasn't logged out, the logout$\_$time is set to 'none'. Times are otherwise in $24-$hour format. The program resets every day at midnight; if someone logged in at $11$:$30$pm$,$ then at $12$:$01$am it would say that they logged in at $12$:$00,$ and had been on for $1$ minute.

Here is some sample output, assuming you've run the command at $11$:$30$pm:

Bart logged on $10$ minutes ago, and is still on$.$ Homer logged in at $10$:$15$am for three minutes, and later logged in at $10$:$20$am for $10$ minutes. Smithers was logged in most of the day in one window, and also opened a second window for just over an hour.

Note that: $(1)$ the program uses groups of spaces, sometimes more, sometimes fewer, so the output is in neat columns. $($There are no tabs in the output.$),$ and $(2)$ the output is sorted by username for everyone who logged on today in the order they logged in$.$

Write shell commands that begin with $\backslash (\backslash$mid $\backslash )$ and generate the following output:

a$.$ Show the full lines for the five longest login sessions of the day

b$.$ Show the full line for all login sessions that began before $8$am$.$

c$.$ Show the full line for all login sessions that ended after $5$pm$.$

d$.$ Show only the names and login times for all sessions. You may only use a single awk command after the pipe.

e$.$ Show only the names and login times for all sessions. You may not use awk in your answer.

f$.$ Give the total login time for user carl, counting all login sessions.